Abstract
It is well-known that the scotogenic model for neutrino mass generation can explain correctly the relic abundance of cold dark matter. There have been claims in the literature that an important part of the parameter space of the simplest scotogentic model can be constrained by the requirement that no $Z_2$-breaking must occur in the early universe. Here we show that this requirement does not give any constraints on the underlying parameter space at least in those parts, where we can trust perturbation theory. To demonstrate this, we have taken into account the proper decoupling of heavy degrees of freedom in both, the thermal potential and in the RGE evolution.
Highlights
Among the known shortcomings of the standard model (SM), probably dark matter (DM) and neutrino masses are the most important ones
In this work we have studied the effects of temperature on the Z2 symmetry breaking in the scotogenic model
It had previously been shown [9] that in the running of the parameters of the scotogenic model to high energy, the mass squared parameter for the inert doublet turns negative in sizable parts of parameter space
Summary
Among the known shortcomings of the standard model (SM), probably dark matter (DM) and neutrino masses are the most important ones. The authors of [9] have pointed out that when evolving the parameters of the scotogenic model to larger energies using RGEs, very often points which had a conserved Z2 at low energy develop a deeper minimum at a nonzero value of the vev of η at high energies and, Z2 is spontaneously broken. This is induced by a negative contribution arising from a one-loop correction to the mass of the Z2-odd scalar doublet mediated by the Z2-odd Majorana righthanded heavy neutrinos, N.
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